This is a very hard question!! its a math riddle, the teacher said that something like this will be in our test.

My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ?

Answer:

We equate the two expressions since they both pass through the center of the circle.

The coordinate of the center of the circle is (2,4)

Step-by-step explanation:

From circle theorem, we know that the perpendicular bisector of a chord passes through the center of the circle.

Since both equations would pass through the center of the circle, we equate them.

So, -2x+8 = 3x-2

Solving for x, we have

3x + 2x = 8 + 2

5x = 10

x = 10/5

x = 2

Substituting x = 2 into any of the equations, we find the y- coordinate of the center of the circle.

y = -2x + 8 = -2(2) + 8 = -4 + 8 = 4

So, the coordinate of the center of the circle is (2,4)

Personal Answer:

The perpendicular bisector of a chord passes through the center of the circle/plate, meaning that both expressions can contribute to the finding the center. By solving for x and y, one can find the coordinates of the center of the circle.

Plato Sample Answer:

Because the perpendicular bisector of any chord of a circle passes though the center of the circle, these two perpendicular bisectors intersect at that point. You can set up a system of equations and solve to find the coordinates of the center.

I hope this helps!

Answer:

False

Step-by-step explanation:

For example if you follow the pythagoras theorem a triangle has sides of 3,4 and 5

but when you add 3 and 4 they do not give you 5

so that is false

The height and width of the box shipped is 15 and 8 inches respectively.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2( lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given, The width of the box is seven inches less than the height.

Assuming the width to be 'w' hence the height(h) = w + 7 and has a length of 24 inches with a volume of 2880 cubic inches.

We know the volume(V) of a cuboid is l×w×h.

Therefore,

24×w×(w + 7) = 2880.

24w(w + 7) = 2880.

24w² + 168w = 2880.

6w² + 42w = 720.

w² + 7w = 120.

w² + 7w - 120 = 0.

w² + 15w - 8w - 120 = 0.

w(w + 15) - 8(w + 15) = 0.

(w + 15)(w - 8) = 0.

w = 8 and hence h = 8 = 7 = 15.

So, the width and height of the box is 8 and 15 inches respectively.

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Hey there! I'm happy to help! :D

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OVERVIEW

A complex number is a real number combined with an imaginary number (such as i, a number that will equal -1 when squared).

The complex plane is an interesting thing we use to graph complex numbers. The horizontal axis is where you plot the real part of the complex number, and the y-axis is where you plot the coefficient of the imaginary number.

For example, if I had the complex number 4+3i, I would plot the point (4,3) on the complex plane.

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MODULI

The modulus (plural is moduli) is the distance of a complex number from the origin on the complex plane. To find the modulus, you take the real number and the coefficient (basically the points of your graph), square them, add the results, and then you find the square root of that! Here's a little checklist so that you can always find the modulus of any complex number!

STEPS TO FIND MODULUS GIVEN COMPLEX NUMBER

STEP 1: PLOT THE COMPLEX NUMBER

Let's use our complex number 4+3i. If we plot it, the point will be (4,3)

STEP 2: TAKE YOUR VALUES OF X AND Y AND SQUARE THEM

4²=16

3²=9

STEP 3: ADD THESE SQUARES

16+9=25

STEP 4: SQUARE ROOT IT

√25=5

Therefore, the modulus (distance from the origin on the complex plane) of 4+3i is 5.

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SOLVING THE PROBLEM

In our case, we are given a modulus but not a point on the line. Our modulus is the square root of seventeen. We are going to have to the steps to find the modulus backwards to find our points. I will put the steps for finding a complex number given the modulus below.

STEPS TO FIND COMPLEX NUMBER GIVEN MODULUS

STEP 1: SQUARE THE MODULUS

√17²=17

STEP 2: FIND THE SQUARES THAT MAKE UP THE NUMBER

Before, we could just add things we found. Now, we have to find the things that were added! How do we know what things were added to find 17?  Well, we know that we added two squares to find the modulus, so we will subtract a square of some sort and hopefully come up with another square.

Let's see what squares exist that are less than seventeen.

1, 4, 9, 16

(Note that one is 1², 4 is 2², 9 is 3², and 16 is 4²)

Which of these can we add to get 17?

Well, we can do 1 and 16, so this is our result so far.

STEP 3: SQUARE ROOT THE RESULTS

Now, we just find the square roots of what we found in the last problem!

√1=1

√16=4

STEP 4: PLOT THE GIVEN NUMBERS ON THE PLANE AND FIND THE COMPLEX NUMBER

We can plot these either way because the modulus of 1+4i will be the same distance from the origin as 4+i because we only use the commutative property (adding order doesn't matter) when looking for the modulus. You can also have the negative version of either number because you immediately square it, so it can also be -4+i or 4-i! You can also rearrange the equation in tons of ways to figure it out. You could also have both be negative, flip the coefficient placement, etc.!

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SOLUTION

Therefore, the complex numbers that have a distance of √17 from the origin on the complex plane are ±4±i and ±1±4i. So, why did I write all of these funny plus and minus signs? Well, it's so that I didn't have to write all of the possible equations. I believe those equations actually represent 8 possible points we can create with the solution we got.

4+i

-4+i

4-i

-4-i

1+4i

-1+4i

1-4i

-1-4i

You can plug these complex numbers back in and find the modulus with my instructions to find the modulus given a complex number. Now, you will be able to deal with moduli and complex numbers for the rest of your life!

I hope that this helps! Have a wonderful day! :)

Answer:

4x+6

Step-by-step explanation:

(x+4)+(3x+2)

=x+4+3x+2

=4x+6

Answer:

Step-by-step explanation:

6x² + 40 = 31x

6x² - 31x + 40 = 0

6x² - 16x - 15x + (-5)*(-8) = 0

2x(3x - 8) - 5(3x -8) = 0

(3x - 8) (2x - 5) = 0

Answer:

Engineers use the Pythagorean Theorem to figure out measurements of objects.

Answer:

it is 279 square feet

Step-by-step explanation:

Answer:

279 sq. feet

Step-by-step explanation:

got the question correct

Edg.

Answer:

5

Step-by-step explanation:

We know that a^b^c = a^ (b*c)

1/25 ^(-2/3* 3/4)

1/25^ (-2/4)

1/25 ^ -1/2

Rewriting 1/25 as 5^-2

5^-2 ^-1/2

Again a^b^c = a^ (b*c)

5^(-2*-1/2)

5 ^ 1

5

Answer:

Eva would have been better off selecting the 20-year term policy.

Step-by-step explanation:

Base on the scenario been described in the question, Eva would have been better off selecting the 20-year term policy. This reason is because assuming Eva bought the 20-year term policy, she wont be paying the new charge of extra 40% to her premium rate, compared to when she bought the 10-year term policy then renew the policy for another ten years.

Eva's best option would be to buy on a 20-year policy. This is better because she is able to evade the additional, 40% to her premium rate.

Premiums are percentages of the cost value charged by the insurance company for their services and benefits.

Read more on insurance premium;

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Answer:

9

Step-by-step explanation:



Answer:

9 hours per night

Step-by-step explanation:

Assuming a week is 7 days

7 * 12 = 14 days

126/14=9

She slept 9 hours per night

Answer:

Slant height = 33 inches

Step-by-step explanation:

r = 12 inches

Lateral Surface Area of cone = 396π square inches

πrl = 396π

π * 12 * l = 396π

[tex]l=\frac{396\pi }{12*\pi }\\[/tex]

l = 33 inches

Answer:

Step-by-step explanation:

x three point shots: 8*3=24

x two point shots: 2*2=4

The point would Anthony score is : 24+4=28

I hope it'll help you much

Thank you for asking

Answer: multiply the mass value by 1000

Real Answer: 1800

Answer:

1800

Step-by-step explanation:

Answer:

2/5*180=72

360/72=5

as simple as that you just need to read on polygons

Step-by-step explanation:

pls give me brainlyist

Answer: Center (0, -8) and Radius = 2

The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.

You can write the equation as (x-0)² + (y-( -8))² = 2². From this, you can conclude that the center is (0,-8) and the radius is 2.

Answer:

57 miles

Step-by-step explanation:

Answer:

57 miles

Step-by-step explanation:

divide 199.5/3.5 and you will get 57 miles

Answer:

Step-by-step explanation:

389

Answer. 3/89

Step-by-step explanation:

HEY FREN

Answer:

okay so u have a graph

u go to the center 0,0

u go up 2 places

then up 3 ove to the left 5

the repeat that step

u get it

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

Area of parallelogram A = base x height = 2 x 1 = 2 (in2)

Hope this helps

:)

Using the normal distribution, it is found that 0.35% of the testers scored a perfect score.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 20.9, \sigma = 5.6[/tex]

The proportion of scores above 36(perfect scores) is given by one subtracted by the p-value of Z when X = 36, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{36 - 20.9}{5.6}[/tex]

Z = 2.7

Z = 2.7 has a p-value of 0.9965.

1 - 0.9965 = 0.0035 = 0.35.%.

Hence, 0.35% of the testers scored a perfect score.

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Answer:

He sold 7 more small boxes than large boxes

Step-by-step explanation:

Let x be the no of small boxes sold .

Cost of 1 small boxes of oranges = $5

Cost of x small boxes of oranges = 5x

Let y be the no. of large boxes sold

Cost of 1 large boxes of oranges = $9

Cost of y large boxes of oranges = 9y

He sold 17 boxes in all total for 105

So,x+y=17 ---1

So,5x+9y=105 ---2

Substitute the value of x from 1 in 2

5x+9(17-x)=105

5x+153-9x=105

153-105=4x

[tex]\frac{153-105}{4}=x[/tex]

12=x

Substitute value of x in 1

12+y=17

y=17-12

y=5

Difference in no. of boxes = 12-5 = 7

So, He sold 7 more small boxes than large boxes

Answer:

Step-by-step explanation:

The apples picked on Monday and Tuesday = 242 + 118 = 360

Apples sold on Wednesday = 360 - 109 =  521

Number of apples left = 251

Equation used: (242 + 118) - 109

Answer:

5, 12, 13

Step-by-step explanation:

because if you use the pythagorean theorem, you will get 13 as the hypotenuse if you take the two shorter sides.

Answer:

The answer might be d.

Answer:

y = .9

Step-by-step explanation:

0.7(1.5+ y) = 3.5y - 1.47

Distribute

1.05 +.7y = 3.5y -1.47

Subtract .7y from each side

1.05 +.7y.-.7y = 3.5y-.7y -1.47

1.05 =2.8y -1.47

Add 1.47 to each side

1.05+1.47 = 2.8y

2.52 = 2.8y

Divide by 2.8

2.52/2.8 = y

.9 = y

Answer:

y = 0.9

C, the third one

Step-by-step explanation:

Examine this multistep equation with variables on both sides.

0.7(1.5 + y) = 3.5y - 1.47

Which of the following is the solution to this equation?

y = 0.09

y = 0.17

y = 0.9

y = 1.7

Answer:

6

Step-by-step explanation:

Answer:

6 students read 2 books

Answer:

Option B

The directrix of the parabola is parallel to the axis of symmetry

Step-by-step explanation:

The directrix of the parabola is not parallel to the axis of symmetry. It is as a matter of fact, perpendicular to it.

A parabola is actually a set of points that are equidistant from a given point, the focus, and a given line the directrix.

The axis of symmetry is a line that divides the parabola into two equal halves and it always passes through the focus.

The directrix of the parabola is always perpendicular to this axis of symmetry as they always intersect at right angles.

We want to see which one of the given statements is false. We will see that the false one is B: "The directrix of the parabola is parallel to the axis of symmetry"

So in a parabola, we define the axis of symmetry as the vertical line that divides the parabola in two equal parts.

For a general parabola:

y = a*x^2 + b*x + c

The line of symmetry is at:

x = -b/2a

While we know that in a parabola the directrix is a horizontal line.

So the axis of symmetry and the directrix are perpendicular lines.

Then the statement that is false is B: "The directrix of the parabola is parallel to the axis of symmetry"

If you want to learn more, you can read:

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Answer:

10.912

Step-by-step explanation:

0.22*49.6=10.912

Answer:

the answer is 225.45

Step-by-step explanation:

49.6 ÷ 22% =

49.6 ÷ (22 ÷ 100) =

(100 × 49.6) ÷ 22 =

4,960 ÷ 22 ≈

225.454545454545 ≈

225.45